Free Printable 8th Grade Chapter 2 Basic Review

1.

Solve:

\frac{14}{r}=\frac{21}{48}

a)

$6.125$

b)

$16$

c)

$32$

d)

$8$

2.

Solve

\frac{3}{8}=\frac{c}{12}

a)

$6$

b)

$4.5$

c)

$7$

d)

$4$

3.

Find the value of x in the similar polygons above.

a)

$15$

b)

$6$

c)

$3$

d)

$9$

4.

If $\Delta$ DEF $\sim$ $\Delta$ DGH, what is the length of $\overline{DH}$ ?

a)

$5.6m$

b)

$4.5m$

c)

$1.6m$

d)

$1.8m$

5.

The two triangles shown in the figure are similar. Find the distance "d" across the river.

a)

$25m$

b)

$16m$

c)

$81m$

d)

$18m$

6.

A staff's shadow is 8ft and the tree's shadow is 16 feet. If the staff is 9ft tall, how tall is the tree?

a)

$9\ ft$

b)

$18\ ft$

c)

$15\ ft$

d)

$12\ ft$

7.

A triangle has vertices A(0,0), B(-3,6), and C(0,9). What are the coordinates of the triangle after dilation with a scale factor of 3?

a)

A'(0,0), B'(-1,3), C'(0,3)

b)

A'(0,0), B'(-9,18), C'(0,27)

c)

A'(0,0), B'(-1,2), C'(0,3)

d)

A'(0,0), B'(-6,12), C'(0,18)

8.

Find the coordinates of the image of the point A(3,9) for a dilation with a scale factor of $\frac{2}{3}$ .

a)

A'( 6, 18)

b)

A' (2, 6)

c)

A'( 4.5, 13.5)

d)

A'( 9, 27)

9.

The figures shown are similar. Figure the perimeter of the second figure.

a)

$12\ ft$

b)

$15\ ft$

c)

$18\ ft$

d)

$8\ ft$

10.

The figures shown are similar. Find the perimeter of the second figure.

a)

$25.2\ mm$

b)

$16.8\ mm$

c)

$14.4\ mm$

d)

$10.8\ mm$

11.

Find the product of $8\cdot8\cdot8$

a)

$64$

b)

$128$

c)

$24$

d)

$512$

12.

Find the product of $\left(-7\right)\left(-7\right)\left(-7\right)\left(-7\right)$

a)

$28$

b)

$2401$

c)

$-2401$

d)

$343$

13.

Write $\frac{13}{20}$ as a decimal.

a)

$0.65$

b)

$0.26$

c)

$0.35$

d)

$0.52$

14.

Write $2\ \frac{3}{8}$ as a decimal.

a)

$2.8$

b)

$2.375$

c)

$0.375$

d)

$2.6$

15.

Write $2\cdot3\cdot2\cdot3\cdot3\cdot7$ using exponents.

a)

$2^2\cdot3^2\cdot7^2$

b)

$2^2\cdot3^3\cdot7$

c)

$2^3\cdot3^2\cdot7$

d)

$2^2\cdot3^3\cdot7^2$

16.

Write $10\cdot10\cdot10\cdot10$ using exponents.

a)

$10^7$

b)

$10^4$

c)

$10^5$

d)

$10^6$

17.

Write the expression $5^{-4}$ using a positive exponent.

a)

$-5^4$

b)

$-\ \frac{1}{5^4}$

c)

$\frac{1}{5^4}$

d)

$5^4$

18.

Evaluate $3^{-4}$

a)

$\frac{1}{81}$

b)

$-81$

c)

$81$

d)

$\frac{1}{-81}$

19.

Express $7,000,000,000$ in scientific notation.

a)

$7\times10^9$

b)

$7\times10^{12}$

c)

$7\times10^6$

d)

$7\times10^8$

20.

Express $0.00186$ in scientific notation.

a)

$1.86\times10^{-4}$

b)

$1.86\times10^{-3}$

c)

$1.86\times10^3$

d)

$1.86\times10^{-5}$

8th Grade Chapter 2 Basic Review

Total questions: 20

Worksheet time: 10mins

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